Problem $2(20$ points$)$: A steady, incompressible jet of water $($jet $1)$ aligned with the horizontal with cross$-$sectional area $A_{\text{I}}=0\mathrm{.}015m^2$ and uniform velocity magnitude $V_{\text{I}}=10\frac{m}{s}$ strikes a stationary block and splits into $2$ jets $($jet $2$ and jet $3)$ as shown. The upper jet $($jet $3)$ exits the block with a uniform velocity magnitude $V_3=10\frac{m}{s}$ at an angle $$ above the horizontal and has cross$-$sectional area $A_3=0\mathrm{.}008m^2.$ The lower jet $($jet $2)$ is aligned in the $-$y direction with a uniform velocity magnitude $V_2=10\frac{m}{s}$ and has crosssectional area $A_2.$ It is known that the net force acting on the block by the jets is equal to zero in the y$-$direction. Assume that the body forces are negligible, and the same uniform atmospheric pressure acts everywhere on the jets and the block. The density of water is $1000k\frac{g}{m^3}.$

a$.$ Determine the cross$-$sectional area of jet $2,A_2.$

b$.$ Determine the angle $.$

c$.$ Calculate the horizontal force acting on the block by the jets and clearly indicate its direction $($left or right$).$